Answer:
9/34
Step-by-step explanation:
Let us move all the numerical values to one side:
34x= 4+5
34x = 9
x=9/34
<em>I hope this helps! :)</em>
The average cost in 1990 is <span>$12,841.</span>
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
4x - 3y + 20 = 0....4x - 3y = -21
4x - 3y = -21.....multiply by -2
5x - 6y = -25
----------------
-8x + 6y = 42 (result of multiplying by -2)
5x - 6y = -25
---------------add
-3x = 17
x = -17/3
this system of equations has 1 solution
Answer:
1. C-surface area
2. The formula V = B x h is not suitable, because the surface area of wrapping paper needed to be calculated, not the volume.
V = Ph + 2B = 15x(5+6+9) + 2x 9x3/2 = 327
3. B: Base area
H: Height of solid
4. She said V =220, while V_real = 7x6x4 =168
=> She is wrong
5. Check the Pythagorean theorem 3^2+4^2 =9+16 =25 =5^2
=> Right triangle.
=> Area = 3x4/2 =6
